Surface area and volume review

Learning Objectives Identify the coordinates of vertices of a rectangular prism. Determine the length, width, and height of a rectangular prism using given coordinate points. Calculate the volume of a rectangular prism when its dimensions are derived from coordinate points. Calculate the surface area of a rectangular prism by finding the area of its faces, using dimensions derived from coordinate points. Apply the correct formulas for volume and area in problems involving the coordinate plane. Explain the difference between volume and surface area in the context of 3D shapes defined by coordinates. Imagine you're designing a new toy box! 📦 How can we use a map-like grid to figure out how much space it takes up and how much paint we'd need to cover it? In this les...

TermDefinitionExample Coordinate PlaneA flat surface made of two perpendicular number lines (the x-axis and y-axis) used to locate points.Plotting the point (3, 2) on a grid. Ordered PairA pair of numbers (x, y) that gives the exact location of a point on the coordinate plane. The first number is the x-coordinate, and the second is the y-coordinate.The point (5, 1) means 5 units right from the origin and 1 unit up. Rectangular PrismA three-dimensional shape with six rectangular faces. Think of a box!A shoebox, a brick, or a building block. DimensionsThe measurements of length, width, and height that describe the size of a 3D object.A box that is 10 inches long, 5 inches wide, and 3 inches high has dimensions 10x5x3 inches. VolumeThe amount of space a three-dimensional object occupies, mea...

Volume of a Rectangular Prism $V = l \times w \times h$ To find the volume (V) of a rectangular prism, multiply its length (l), width (w), and height (h). Remember, volume is measured in cubic units. Area of a Rectangle $A = l \times w$ To find the area (A) of a flat rectangle, multiply its length (l) by its width (w). This is used to find the area of each face of a rectangular prism for surface area. Finding Length/Width/Height from Coordinates (Horizontal/Vertical) Count the units between two points on the same horizontal or vertical line. If two points share the same y-coordinate, count the units between their x-coordinates to find horizontal length. If two points share the same x-coordinate, count the units between their y-coordinates to find vertical length. For...